F-Test
Following are the two applications of F-test
1. Test of equality of two population variances
F=
S 22
S12
2
2
(if
S
S
otherwise
)
1
2
S 22
S12
Where
S =
2
1
1
(X X )
n 1
n1
i =1
2
1i
1
and
S =
2
2
1
1
(X X )
n 1
n2
i =1
2i
2
21
2
With n1-1 and n2-
8/21/2015
Session #10: Sampling and Sampling
Distribution
Agenda
a. Sampling vs. census
b. Random and nonrandom
sampling
c. Types of error
d. Sampling distributions
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1
Reasons for Sampling
Sampling can save money.
Sampling can save time.
F
8/21/2015
Session #16: Nonparametric Statistics
Agenda
a. nonparametric tests
b. run test
c. Mann-Whitney
y U test
d. Wilcoxon matched-pairs signed
rank test
e. Kruskal-Wallis test
f. Friedman test
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1
Parametric vs Nonparametric Statistics
P
8/21/2015
Session #11: Statistical Inference:
Hypothesis Testing
Agenda
a. Hypothesis testing
b. Type I and Type II errors
c. HTAB system to test
hypotheses
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1
Types of Hypotheses
Research Hypothesis
a statement of what the researcher belie
8/21/2015
Session #11: Hypothesis Testing
Agenda(Applications of Z test (n>30)
a. Test of significance for single
mean
b. Test of significance for difference
off means
c. Test of significance for difference
of standard deviation (s.d.)
d. Testing a Claim
8/21/2015
Session #6: Probability
Agenda
a. Law of Addition
b. Law of Multiplication
c. Bayes Law
d. Law of conditional Probability
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General Law of Addition
P( X Y ) = P( X ) + P(Y ) P( X Y )
X
Y
Special Law of Addition
If X and Y are mutua
8/21/2015
Session #13: Analysis of Variance and Design
of Experiments
Agenda
a.
b.
c.
d.
e.
f.
Experimental designs
y ANOVA
One-way
Random Block Design
Two-way ANOVA.
Interaction.
Multiple comparison techniques.
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1
Introduction to Design of E
8/21/2015
Session #5: Probability
Agenda
a. Introduction
b. Probability
c. Ways of assigning probability
d. Marginal, union, joint, and
e. conditional probabilities.
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1
Methods of Assigning Probabilities
Classical method of assigning probabi
8/21/2015
Session #12: Hypothesis Testing
Agenda
a. Applications of t-tests
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1
Applications of t test(n30)
Test the significance of the mean of a
random sample
Test the difference between means of
two samples (Independent Samples)
Test the di
8/21/2015
Session #8: Continuous Distribution
Agenda
uniform distribution
normal distribution
Exercises based normal
distribution
Exponential distribution
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1
Uniform Distribution
1
b a
f ( x) =
0
for
a xb
for
all other values
1
ba
f (x)
Ar
8/21/2015
Session #7: Discrete Distribution
Agenda
a. Discrete vs. continuous random
variables
b. Determine mean and variance of a
discrete distribution
c. Identify the type of statistical
experiments that can be described
by the binomial, Poisson and
Hyp
8/21/2015
Session #4: Descriptive Statistics
Agenda
a.Skewness
b.Kurtosis
c.Box and Whisker Plots
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Measures of Shape
Skewness
Absence of symmetry
Extreme values in one side of a distribution
Kurtosis
Peakedness of a distribution
Leptoku
8/21/2015
Session #15: Analysis of Categorical Data
Agenda
(Applications of 2 Test)
a. Goodness of Fit
b. Contingency Analysis (or Test
of Independence)
c. Test of population variance
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2 Goodness-of-Fit Test
The 2 goodness-of-fit test compa